101131320 has 64 divisors (see below), whose sum is σ = 304780320. Its totient is φ = 26845184.

The previous prime is 101131309. The next prime is 101131321. The reversal of 101131320 is 23131101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101131296 and 101131305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26152 + ... + 29768.

Almost surely, 2^101131320 is an apocalyptic number.

101131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152390160).

101131320 is an abundant number, since it is smaller than the sum of its proper divisors (203649000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101131320 is a wasteful number, since it uses less digits than its factorization.

101131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101131320 is about 10056.4069130082. The cubic root of 101131320 is about 465.9026978533.

Adding to 101131320 its reverse (23131101), we get a palindrome (124262421).

The spelling of 101131320 in words is "one hundred one million, one hundred thirty-one thousand, three hundred twenty".